Basic Break-Even Calculations Suppose that Larimer Company sells a product for $24. Unit costs are as follows: Direct materials $4.98 Direct labor 2.10 Variable factory overhead 1.00 Variable selling and administrative expense 2.00 Total fixed factory overhead is $26,500 per year, and total fixed selling and administrative expense is $15,260. Required: 1. Calculate the variable cost per unit and the contribution margin per unit. 2. Calculate the contribution margin ratio and the variable cost ratio. 3. Calculate the break-even units. 4. Prepare a contribution margin income statement at the break-even number of units. Enter all amounts as positive numbers.

Instructions are below.

Explanation:

Giving the following information:

Selling price= $24.

Unit costs are as follows:

Direct materials $4.98

Direct labor 2.10

Variable factory overhead 1.00

Variable selling and administrative expense 2.00

Total unitary variable cost= $10.08

Total fixed factory overhead= $26,500

Total fixed selling and administrative expense= $15,260.

a. Variable cost per unit= 4.98 + 2.1 + 1 + 2= $10.08

Unitary contribution margin= 24 - 10.08= $13.92

b.

Contribution margin ratio= contribution margin / selling price

Contribution margin ratio= 13.92 / 24= 0.58

Variable cost ratio= unitary variable cost / selling price

Variable cost ratio= 10.08 / 24= 0.42

c. To calculate the break-even point in units, we need to use the following formula:

Break-even point in units= fixed costs/ contribution margin per unit

Break-even point in units= (26,500 + 15,260) / 13.92

Break-even point in units= 3,000

d. Finally, the contribution margin income statement:

Sales= 3,000*24= 72,000

Total variable cost= 3,000*10.08= (30,240)

Contribution margin= 41,760

Total fixed factory overhead= (26,500)

Total fixed selling and administrative expense= (15,260)

Net operating income= 0

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